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50363964 = 22337231307
BaseRepresentation
bin1100000000011…
…1111000111100
310111202202101000
43000013320330
5100343121324
64555250300
71151041500
oct300077074
9114682330
1050363964
112647a212
1214a49990
13a584c81
146990300
15464c9c9
hex3007e3c

50363964 has 144 divisors (see below), whose sum is σ = 157301760. Its totient is φ = 13880160.

The previous prime is 50363959. The next prime is 50363969. The reversal of 50363964 is 46936305.

50363964 is a `hidden beast` number, since 503 + 63 + 96 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (50363959) and next prime (50363969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50363969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163899 + ... + 164205.

Almost surely, 250363964 is an apocalyptic number.

50363964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50363964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650880).

50363964 is an abundant number, since it is smaller than the sum of its proper divisors (106937796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50363964 is a wasteful number, since it uses less digits than its factorization.

50363964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 50363964 is about 7096.7572876631. The cubic root of 50363964 is about 369.2948928295.

The spelling of 50363964 in words is "fifty million, three hundred sixty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 307 372 378 434 441 558 588 614 651 756 837 868 882 921 1116 1228 1302 1323 1519 1674 1764 1842 1953 2149 2604 2646 2763 3038 3348 3684 3906 4298 4557 5292 5526 5859 6076 6447 7812 8289 8596 9114 9517 11052 11718 12894 13671 15043 16578 18228 19034 19341 23436 25788 27342 28551 30086 33156 38068 38682 41013 45129 54684 57102 58023 60172 66619 77364 82026 85653 90258 114204 116046 133238 135387 164052 171306 180516 199857 232092 256959 266476 270774 342612 399714 406161 466333 513918 541548 599571 799428 812322 932666 1027836 1199142 1398999 1624644 1798713 1865332 2398284 2797998 3597426 4196997 5595996 7194852 8393994 12590991 16787988 25181982 50363964